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Finding the Third Proportional to 81,172.13 and 144,814.50

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Solution

The third proportional to 81,172.13 and 144,814.50 is: 258,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,172.13 : 144,814.50 = 144,814.50 : x
  2. Step 2: Convert to fraction form
    81,172.13/144,814.50 = 144,814.50/x
  3. Step 3: Cross multiply
    81,172.13x = 144,814.50 × 144,814.50
  4. Step 4: Simplify right side
    81,172.13x = 20,971,239,410.25
  5. Step 5: Solve for x
    x = 20,971,239,410.25/81,172.13
  6. Step 6: Final answer
    x = 258,355.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.